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Finding the Third Proportional to 114,924.76 and 157,755.41

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Solution

The third proportional to 114,924.76 and 157,755.41 is: 216,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,924.76 : 157,755.41 = 157,755.41 : x
  2. Step 2: Convert to fraction form
    114,924.76/157,755.41 = 157,755.41/x
  3. Step 3: Cross multiply
    114,924.76x = 157,755.41 × 157,755.41
  4. Step 4: Simplify right side
    114,924.76x = 24,886,769,433.57
  5. Step 5: Solve for x
    x = 24,886,769,433.57/114,924.76
  6. Step 6: Final answer
    x = 216,548.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.